Y=mx+b helps to find slope of a line.
B is where it starts on the y axis.
m is the slope.
8 and 5 multiply to 40 but subtract to 3.
Answer:
The positive angle that less than 360° and is conterminal with -289° is 71°
Step-by-step explanation:
- When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
- When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
- To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°
Let us solve the question
∵ The measure of the angle is -289°
→ Add its measure by 360° to find the positive angle that is conterminal
with it
∵ The measure of the positive angle = -289° + 360°
∴ The measure of the positive angle = 71°
The positive angle that less than 360° and is conterminal with -289° is 71°
Answer:
Step-by-step explanation:
B no b/c 7 miles is 12,320 yds and 40 times around route is only 9600 yds... keep running cyrus.. :P
Answer:
w= 9
Step-by-step explanation:

Square both sides:
-4w +61= (w -4)²

Expand:
-4w +61= w² -2(w)(4) +4²
-4w +61= w² -8w +16
Simplify:
w² -8w +16 +4w -61= 0
w² -4w -45= 0
Factorize:
(w -9)(w +5)= 0
w -9= 0 or w +5= 0
w= 9 or w= -5 (reject)
Note:
-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.
<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>
When solving an equation such as x²= 4,
we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.
In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.
However, back to our question, we did not introduce the square root so we should not consider the negative square root value.